Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
14280f |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-51987306470400 = -1 · 210 · 310 · 52 · 7 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 6 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8224,192060] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:272:1] |
Generators of the group modulo torsion |
j |
60064829854844/50768853975 |
j-invariant |
L |
4.1362605356248 |
L(r)(E,1)/r! |
Ω |
0.40954347020477 |
Real period |
R |
1.6832810338614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28560bj1 114240fb1 42840ck1 71400dk1 |
Quadratic twists by: -4 8 -3 5 |